Question

Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15 administration fee. If h represents the number of hours of tax preparation, for what number of hours does Grayson charge more than Ian?

Answer 1

Grayson: h hours × (35 dollars)/hour + 35 dollars = (35h + 35) dollars
Ian: h hours × (45 dollars)/hour + 15 dollars = (45h + 15) dollars

35h + 35 > 45h + 15
20 > 10h
h < 2

Answer 2

Number of hours for which Grayson charge more than Ian is <2.

Explanation:

Let h represents the number of hours of tax preparation.

Amount charged by Grayson = 35h+35.

Amount charged by Ian = 45h+15

It is given Grayson charge more than Ian

So,

35h+35 > 45h+15

Or 35-15 > 45h-35h

Or, 20> 10h

2> h

Or h< 2

Number of hours for which Grayson charge more than Ian is <2.